CROSS-REFERENCE TO RELATED APPLICATION
TECHNICAL FIELD
[0002] The present invention relates to the field of crossover cable technology, and particularly
to a method and an apparatus for evaluating and optimizing a continuous extrusion
processing characteristic of a high-voltage cable insulation material.
BACKGROUND
[0003] Submarine cables are the core components of the cross-sea power transmission system.
Unlike the land cable, the submarine cable joint is more difficult and costly to manufacture.
Accordingly, in engineering, it is always hoped that the length of a single-segment
submarine cable product is as long as possible in order to reduce the total number
of intermediate joints or factory joints of the submarine cables.
[0004] Cross-linked polyethylene is currently the most important insulation material for
high-voltage submarine cables. The material is mainly composed of polyethylene resin
and a certain proportion of antioxidants and cross-linking agents. The manufacturing
process of the cable insulation layer includes: under a high-temperature condition
that is lower than the rapid decomposition temperature of the cross-linking agent
and higher than the melting temperature of polyethylene, a screw extruder is employed
to heat the cross-linkable polyethylene insulation material into a melt, the melt
is continuously extruded onto a cable conductor through the head of the screw extruder,
and then enters a cross-linked pipeline, continuous crosslinking is carried out under
a high-temperature condition where the cross-linking agent can decompose rapidly.
In the above process, the continuous and uninterrupted operation time of the extruder
is an important limiting factor for the length of the single-segment cable product.
[0005] Based on the technical principle of cross-linked cable production, during the long-term
extrusion process of the cross-linkable polyethylene cable insulation material, the
material may inevitably be retained in a local position in the extruder due to an
uneven melt fluidity and the existence of a local dead corner with a low fluidity
in the extruder. At the extrusion temperature, although the decomposition rate of
the cross-linking agent is slow, pre-crosslinking may also occur in the long-term
retained material due to the decomposition of the cross-linking agent. Part of the
pre-crosslinked material may form gel point defects in the cable insulation. The gel
point defects may easily cause blockage of the extruder filter, thereby limiting the
continuous extrusion time. Some gel points that penetrate through the filter may also
cause a significant decrease in the electrical properties of the insulation layer.
Accordingly, after unacceptable pre-crosslinking occurs, the extruder must be stopped
and the interior of the extruder must be cleaned as a whole, which thus limits the
continuous processing time of the extruder.
[0006] A key to manufacturing the long-length submarine cable is to extend the continuous
production time of the cable as much as possible, this may be required to select the
insulation material with better long-term extrusion processing property through experiments,
and the processing parameters of the extruder need to be optimized in order to find
the optimal long-term process condition. However, currently in the cable manufacturing
industry, there is a lack of a method capable of accurately evaluating the continuous
extrusion processing characteristic of the cross-linked polyethylene cable insulation
material, and there is also a lack of quantitative evaluation index to characterize
such characteristic. On the one hand, the cable manufacturing industry lacks clear
criteria for the selection of insulation materials; on the other hand, in the actual
production process of the submarine cable, the processing parameters and the length
of continuous production time of the extruder can only be determined based on experiences.
If the continuous production time is set too long, pre-crosslinking of the material
may occur during the production process, resulting in a decrease in the insulation
property of the cable. If the continuous production time is set too short, the material
property cannot be fully utilized and the cable product cannot obtain a maximum length
thereof. Since the high-voltage cable insulation material is relatively expensive,
repeated attempts of the high-voltage cable insulation material in the large-scale
production device may inevitably cause a lot of material waste and cost consumption,
and accordingly, also cause high costs and long cycles for adjusting and optimizing
the processing parameters of extruders..
[0007] How to reasonably select an insulation material having the long-term extrusion processing
property, and how to reasonably limit the continuous extrusion time in order to avoid
pre-crosslinking of the material during the extrusion process are key factors in determining
the quality of the cable insulation layer. However, there is currently a lack of effective
evaluation methods for the long-term extrusion processing property of materials, there
is a lack of reliable data support for the optimization of insulation material, and
there is also a lack of objective basis for setting the continuous extrusion time
for the manufacture of long-length submarine cables. The present application aims
to provide a method and an apparatus for evaluating and optimizing a continuous extrusion
processing characteristic of a high-voltage cable insulation material. The method
and apparatus can be utilized to evaluate and optimize cross-linkable polyethylene
insulation materials adapted to the long-term extrusion processing, and can also be
utilized to optimize the process parameters during long-term extrusion processing
to implement the optimal setting of the extrusion processing process parameters for
a given material.
SUMMARY
[0008] According to the embodiments of the present invention, a method and an apparatus
for evaluating and optimizing a continuous extrusion processing characteristic of
a high-voltage cable insulation material are provided.
[0009] In the first aspect of the present application, a method for evaluating and optimizing
a continuous extrusion processing characteristic of a high-voltage cable insulation
material is provided, including:
at a step A1, heating a tested material to a melt at a set temperature, continuously
extruding the melt through a capillary mold, continuously measuring and recording
an inlet pressure P of a capillary, a mass growth rate w of an extruded melt, and a diameter D' of a
melt strip during the extrusion, obtaining an apparent shear viscosity ηa of a melt flow;
at a step A2, calculating an outlet expansion rate δ of the melt by using the diameter D' of the melt strip;
at a step A3, recording and displaying curves ηa(t) and δ(t) of the apparent shear viscosity and the outlet expansion rate of the
melt changing with time, determining time corresponding to an increase of a set percentage
in the ηa(t) or δ(t) on the curve ηa(t) or δ(t) as starting time of a cross-linking reaction, which is recorded as TX;
at a step A4, selecting a reference sample, testing the reference sample according
to the steps A1 to A3, and determining starting time TS of a cross-linking reaction of the reference sample according to the curves ηa(t) and δ(t) of the reference sample;
at a step A5, defining an index α according to the TX and TS as a digital characteristic quantity for characterizing the continuous extrusion
processing characteristic of the tested material.
[0010] In an embodiment, the step A1 includes:
at a step A1.1, calculating a shear rate γ̇ of the melt flow by using the mass growth
rate of the extruded melt according to a formula (1) as follows:

where ρ represents a melt density, and C=1.02×104/cm3 is a device constant;
at a step A1.2, obtaining a shear stress τ of the melt flow by using the inlet pressure
data P of the capillary according to a formula (2) as follows:

where P0 represents an atmospheric pressure of an experimental environment, and is taken as
0.1MP;
at a step A1.3, obtaining the apparent shear viscosity ηa of the melt flow by using the calculated values τ and γ̇ according to a formula (3)
as follows:

where τ represents the shear stress of the melt flow, and γ̇ represents the shear
rate of the melt flow.
[0011] In an embodiment, at the step A1, the η
a is calculated with 60 seconds as a data period.
[0012] In an embodiment, at the step A2, the outlet expansion rate δ of the melt is calculated
by using the diameter
D' of the melt strip according to a formula (4) as follows:

[0013] In an embodiment, at the step A3, the set percentage is equal to 10%.
[0014] In an embodiment, at the step A4, the reference sample is made by using a low-density
polyethylene (LDPE) resin, a cross-linking agent and an antioxidant, wherein the cross-linking
agent is diisopropylbenzene peroxide-DCP, the antioxidant is an antioxidant 1010,
and the reference sample is prepared according to a proportion of 2phr DCP and 0.3phr
antioxidant 1010 added to 100phr LDPE.
[0015] In an embodiment, at the step A4, a rotate speed of the screw extruder is adjusted
during the testing to allow an initial shear rate of the extruded melt to be within
a range of 1000 to 1200s
-1, and the experimental testing is performed continuously at the rotate speed to finally
determine the starting time of the cross-linking reaction of the reference sample.
[0016] In an embodiment, at the step A5, the index α is defined according to a formula (5)
as follows:
when α>0, it means that the continuous extrusion processing characteristic of the
tested material is higher than that of the reference sample, and the larger the value
of α, the longer the time during which the material is continuously processed in a
device;
when α<0, it means that the continuous extrusion processing characteristic of the
tested material is lower than that of the reference sample, and the larger the absolute
value of α, the shorter the time during which the material is continuously processed
in the device.
[0017] In the second aspect of the present application, an apparatus for evaluating and
optimizing a continuous extrusion processing characteristic of a high-voltage cable
insulation material is provided,
the testing apparatus includes: a single-screw extruder with set specifications and
a capillary extrusion mold, a melt of a tested material is continuously extruded through
the capillary by the single-screw extruder under a set extrusion processing condition;
a multi-hole throttling device is provided at an inlet of the capillary mold, and
a polymer melt enters the extrusion capillary through the multi-hole throttling device;
a melt pressure sensor is provided at the inlet of the capillary and is configured
to continuously measure a melt pressure at the inlet of the capillary;
for the melt after being extruded through the capillary, a mass of the extruded melt
is continuously measured per unit time by an automatic weighing device;
a non-contact optical diameter measuring instrument is provided at an outlet for the
extruded melt and is configured to continuously measure a diameter of a melt strip
extruded.
[0018] In an embodiment, the specifications of the single-screw extruder in the testing
apparatus include: a screw diameter is equal to Φ20mm, an aspect ratio is equal to
20:1, a compression ratio is equal to 1:1.18; the weighing device has a range of 100g
and an accuracy of 1mg; a diameter gauge has a range of 5mm and an accuracy of 5µm.
[0019] In an embodiment, the throttling device includes two 100-mesh and one 500-mesh stainless
steel filters which form a sandwich structure, the throttling device is mounted at
the inlet of the capillary mold, the capillary mold with the throttling device as
a whole is connected to the single-screw extruder.
[0020] In an embodiment, parameters of a capillary mold core include: a capillary diameter
D satisfying
D = 1.0 ± 0.013mm, a capillary length
L satisfying
L = 30.0 ± 0.13mm, an inlet angle
A satisfying
A = 40° ± 0°30'.
[0021] In the third aspect of the present application, a method for optimizing continuous
extrusion processing of a high-voltage cable cross-linked polyethylene insulation
material is provided, including:
at a step B1, using a set cross-linkable polyethylene insulation material, and selecting
a small single-screw extruder with a similar structure and the same number of heating
sections as a large extruder according to the number of heating sections of the large
extruder used in an actual production;
at a step B2, heating the cross-linkable polyethylene insulation material into a melt
under set process conditions, continuously extruding the melt through the capillary
mold by the single-screw extruder, continuously measuring and recording an inlet pressure
P of the capillary, a mass growth rate w of an extruded melt, and the diameter D' of an melt strip during the extrusion, and obtaining an apparent shear viscosity
ηa of a melt flow;
at a step B3, calculating an outlet expansion rate δ of the melt by using the diameter D' of the melt strip;
at a step B4, recording and displaying curves ηa(t) and δ(t) of the apparent shear viscosity and outlet expansion rate of the melt changing
with time, determining time corresponding to an increase of a set percentage in the
ηa(t) or δ(t) on the curve ηa(t) or δ(t) as the starting time of the cross-linking reaction, and recording the time
as TX;
at a step B5, providing a plurality of groups of different process conditions, continuously
extruding the melt of the tested material through the capillary mold under each group
of process conditions, retesting the starting time TX of the cross-linking reaction of the material, and obtaining a value of the TX related to each group of process conditions;
at a step B6, determining a shear viscosity corresponding to a maximum value of TX as a numerical characteristic of the melt in an optimal flow state, and determining
the group of process conditions corresponding to the shear viscosity as a group of
optimal conditions for the extrusion processing of a long-length submarine cable;
at a step B7, setting production process parameters of an actual extruder according
to a rule of obtaining process parameters through the testing of the small extruder
at the step B6, and fine-tuning the production process parameters to obtain the optimal
process parameters.
[0022] In an embodiment, at the step B2, the process conditions include a screw speed of
the single-screw extruder and an operating temperature of each heating section.
[0023] In an embodiment, the step B2 includes:
at a step B2.1, calculating a shear rate γ̇ of the melt flow by using the mass growth
rate w of the extruded melt according to a formula (1) as follows:

where ρ represents a melt density, and C=1.02×104/cm3 is a device constant;
at a step B2.2, obtaining a shear stress τ of the melt flow by using the inlet pressure
P of the capillary according to a formula (2) as follows:

where P0 represents an atmospheric pressure of an experimental environment, and is taken as
0.1MPa;
at a step B2.3, obtaining an apparent shear viscosity ηa of the melt flow by using the calculated values τ and γ̇ according to a formula (3)
as follows:

where τ represents the shear stress of the melt flow, and the γ̇ represents the shear
rate of the melt flow.
[0024] In an embodiment, at the step B2, the
ηa is calculated with 60 seconds as a data period.
[0025] In an embodiment, at the step B3, the outlet expansion rate δ of the melt is calculated
by using the diameter D' of the melt strip according to a formula (4) as follows:

the curves η
a(t) and δ(t) of the apparent shear viscosity and the outlet expansion rate of the
melt changing with time are recorded and displayed in real time.
[0026] In an embodiment, at the step B4, the set percentage is equal to 10%.
[0027] In an embodiment, at the step B5, temperature of each heating section and an extruder
head and the screw speed are not identical for each group of process conditions.
[0028] In the fourth aspect of the present application, an apparatus for optimizing continuous
extrusion processing of a high-voltage cable cross-linked polyethylene insulation
material is provided,
the apparatus includes: a single-screw extruder with set specifications and a capillary
extrusion mold,
a melt of a tested material is continuously extruded through the capillary by the
single-screw extruder under a set extrusion processing condition;
a multi-hole throttling device is provided at an inlet of the capillary mold, and
a polymer melt enters the extrusion capillary through the multi-hole throttling device;
a melt pressure sensor is provided at the inlet of the capillary and is configured
to continuously measure a melt pressure at the inlet of the capillary;
for the melt after being extruded through the capillary, a mass of an extruded melt
is continuously measured per unit time by an automatic weighing device;
a non-contact optical diameter measuring instrument is provided at an outlet of the
extruded melt and is configured to continuously measure a diameter of a melt strip
extruded.
[0029] In an embodiment, the single-screw extruder has a similar structure and the same
number of heating sections as a large extruder used in an actual production.
[0030] In an embodiment, in the apparatus, the specifications of the single-screw extruder
include: a screw diameter is equal to Φ20mm, an aspect ratio is equal to 20:1, a compression
ratio is equal to 1:1.18, the weighing device has a range of 100g and an accuracy
of 1mg, a diameter gauge has a range of 5mm and an accuracy of 5µm.
[0031] In an embodiment, the throttling device includes two 100-mesh and one 500-mesh stainless
steel filters which form a sandwich structure, the throttling device is mounted at
the inlet of the capillary mold, the capillary mold with the throttling device as
a whole is connected to the single-screw extruder.
[0032] In an embodiment, parameters of a capillary mold core include: a capillary diameter
D satisfying
D = 1.0 ± 0.013mm, a capillary length
L satisfying
L = 30.0 ± 0.13mm, an inlet angle
A satisfying
A = 40° ± 0° 30'.
[0033] The details of one or more embodiments of the present invention are set forth in
the accompanying drawings and the description below. Other features, purposes, and
advantages of the present application will be apparent from the description and drawings,
and from the claims.
BRIEF DESCRIPTION OF THE DRAWINGS
[0034] In order to more clearly illustrate the technical solution in the embodiments of
the present invention or in the conventional technology, accompanying drawings required
for the descriptions of the embodiments or the conventional technology are briefly
introduced below. Obviously, the drawings described below are merely embodiments of
the present invention, and those skilled in the art can obtain other drawings based
on the disclosed drawings without paying any creative work.
FIG. 1 is a flow chart showing a method for evaluating a continuous extrusion processing
characteristic of an insulation material according to some embodiments.
FIG. 2 is a flow chart showing a method for optimizing a continuous extrusion process
of an insulation material according to some embodiments.
FIG. 3 is a schematic diagram of a melt extrusion testing device according to some
embodiments.
FIG. 4a is a schematic diagram of a throttling device according to some embodiments.
FIG. 4b is a schematic diagram illustrating a matching mode of a capillary mold, a
throttling device, a diameter gauge, and a pressure sensor according to some embodiments.
FIG. 5 is a schematic diagram of a capillary mold core according to some embodiments.
FIG. 6 is a schematic curve diagram of ηa(t), δ(t) changing with time according to some embodiments.
[0035] In the figures,
1, 100-mesh stainless steel filter; 2, 500-mesh stainless steel filter; 3, capillary
mold inlet; 4, pressure sensor; 5, heating jacket; 6, capillary mold outlet; 7, non-contact
optical diameter gauge.
DETAILED DESCRIPTION OF THE EMBODIMENTS
[0036] The technical solution in the embodiments of the present invention will be clearly
and completely described below in conjunction with the drawings in the embodiments
of the present invention. Obviously, the described embodiments are merely some embodiments
of the present invention, rather than all of the embodiments. Based on the embodiments
in the present invention, all other embodiments obtained by those skilled in the art
without any creative work shall fall within the scope of protection of the present
application.
[0037] Based on the principle that pre-crosslinking of polyethylene material may cause changes
in shear viscosity and melt extrusion expansion rate, the present application designs
a device for continuously monitoring changes in the shear viscosity and extrusion
expansion rate of a polyethylene cable insulation material melt in a continuous extrusion
process. A continuous extrusion processing characteristic of the material is quantitatively
characterized through the continuous changes in the shear viscosity and extrusion
expansion rate with extrusion processing time. Based on the present application, two
main purposes can be achieved: (1) evaluation of the continuous extrusion processing
characteristic of a cross-linked polyethylene insulation material for a high-voltage
cable; and (2) optimization and determination of an optimal process condition for
continuous extrusion processing of a long-length submarine cable.
[0038] In embodiment (I), an evaluation of a continuous extrusion processing characteristic
of a cross-linked polyethylene insulation material for a high-voltage cable is implemented.
[0039] In order to characterize and evaluate the continuous extrusion processing characteristic
of the cross-linked polyethylene cable insulation material and objectively reflect
differences between different materials, it is actually necessary to find a length
of processing time during which the material undergoes from the beginning of processing
until noticeable pre-crosslinking occurs under the same extrusion process condition,
and the length of processing time serves as a quantitative index for characterizing
the continuous processing characteristic of the material.
[0040] A technical principle and a testing method for characterizing a continuous extrusion
processing characteristic of a high-voltage submarine cable insulation material are
provided as follows.
[0041] At step A1, the tested material is heated to a melt at a temperature of 115±2°C,
and the melt is continuously extruded through a capillary mold by a single screw extruder
at an appropriate screw speed (the appropriate screw speed should be set according
to a condition given when describing testing of a reference sample, and shear rates
of the tested sample and the reference sample should be set to the same). During the
extrusion process, an inlet pressure
P (MPa) of the capillary, a mass growth rate w (g/s) of an extruded melt, and a diameter
D' (µm) of a melt strip are continuously measured and recorded. The following calculations
are performed with 60 seconds as a data period.
[0042] At step A1.1, the shear rate γ̇(s
-1) of melt flow is calculated using the mass growth rate w of the extruded melt according
to a formula (1):

[0043] In the formula,
ρ(g/cm
3) represents a melt density, and
C=1.02×10
4/cm
3 is a device constant.
[0044] At step A1.2, the shear stress τ (MPa) of the melt flow is obtained by using the
pressure data of the capillary inlet according to a formula (2):

[0045] In the formula,
P0 represents an atmospheric pressure of the experimental environment, which may usually
be taken as 0.1MPa.
[0046] At step A1.3, an apparent shear viscosity η
a(Pa·s) of the melt flow is obtained using the calculated values τ and γ̇ according
to a formula (3):

[0047] At step A2, while completing the step A1, an outlet expansion rate δ (%) of the melt
is calculated using the diameter
D' of the strip according to a formula (4):

[0048] At step A3, curves η
a(t) and δ(t) of the apparent shear viscosity and outlet expansion rate of the melt
changing with time are recorded and displayed in real time.
[0049] If molecular chains of the material do not cross-link during the extrusion process,
the shear viscosity and outlet expansion rate of the melt are stable values, that
is, η
a(t) and δ(t) are substantially horizontal curves. If the material undergoes a certain
degree of pre-crosslinking, a gel point may be formed in the melt. At the moment,
a flux of the melt may decrease when the melt passes through the throttling device,
which may cause the apparent shear viscosity obtained in the testing to increase significantly,
and the outlet expansion rate of the melt may also increase.
[0050] The increase of η
a(t) or δ(t) exceeding a certain percentage (preferably 10%) is used as a criterion.
When either η
a(t) or δ(t) reaches more than 1.1 times of an initial value, it indicates that the
material has begun to pre-crosslink. At this point, the experiment is stopped, and
time corresponding to an increase of 10% in η
a(t) or δ(t) is found on the curve η
a(t) or δ(t) as the starting time of the cross-linking reaction, and is recorded as
TX. The curves are as shown in FIG. 6.
[0051] At step A4, a reference sample is selected, the reference sample is tested according
to steps A1 to A3, and the starting time
TS of the cross-linking reaction of the reference sample is determined according to
the curves η
a(t) and δ(t) of the reference sample.
[0052] In order to reduce the effect of parameters and structural differences of different
experimental devices on the experimental result, the test result is further processed
by using the reference sample. A low-density polyethylene (LDPE) resin, a cross-linking
agent (diisopropylbenzene peroxide-DCP) and an antioxidant (antioxidant 1010) used
in the industry to manufacture high-voltage cable insulation material are recommended
for the reference sample, and the reference sample is prepared according to a proportion
of 2phr DCP and 0.3phr antioxidant 1010 added to 100phr LDPE.
[0053] The curves η
a(t) and δ(t) of the reference sample are tested according to the above principle,
when the testing starts, the rotate speed of the screw extruder should be adjusted
so that the initial shear rate of the extruded melt is within a range of 1000 to 1200s
-1, and the experimental testing is performed continuously at the speed to finally determine
the starting time of the cross-linking reaction of the reference sample, which is
recorded as
TS.
[0054] At step A5, an index α is defined according to
TX and
TS as a digital characteristic quantity for characterizing the continuous extrusion
processing characteristic of the tested material. The index α is defined according
to the following formula (5):

[0055] If α>0, it means that the continuous extrusion processing characteristic of the tested
material is higher than that of the reference sample, and the larger the value of
α, the longer the time during which the material can be continuously processed in
the device.
[0056] If α<0, it means that the continuous extrusion processing characteristic of the tested
material is lower than that of the reference sample, and the larger the absolute value
of α, the shorter the time during which the material can be continuously processed
in the device.
[0057] The block diagram of the principle of the testing device is shown in FIG. 3, through
which curves of the three parameters, namely the pressure
P of the melt of the tested material flowing through the capillary inlet, the mass
m of the extruded melt per unit time, and the diameter
D' of the extruded melt strip changing with time can be continuously acquired as basic
data.
[0058] The testing device may specifically include a single-screw extruder with specific
specifications and a capillary extrusion mold, which is configured to continuously
extrude the melt of the tested material through the capillary under a specific extrusion
processing condition (the temperature of the extruder is set in a range of 105°C to
120°C). The specifications of the single-screw extruder in the testing device are
recommended as that: a screw diameter is equal to Φ20mm, an aspect ratio is equal
to 20:1, a compression ratio is equal to 1:1.18; the weighing device has a range of
100g and an accuracy of 1mg; the diameter gauge has a range of 5mm and an accuracy
of 5µm.
[0059] A multi-hole throttling device is provided at the inlet of the capillary mold, through
which the polymer melt enters the extrusion capillary. The throttling device has a
sandwich structure consisting of two 100-mesh and one 500-mesh stainless steel filters,
as shown in FIG. 4(a). The throttling device is mounted at the inlet of the capillary
mold, as shown in FIG. 4(b). The capillary mold with the throttling device as a whole
is connected to the single-screw extruder.
[0060] A melt pressure sensor is provided at the inlet of the capillary and is configured
to continuously measure the melt pressure at the inlet of the capillary. The capillary
mold core is as shown in FIG. 5. The recommended parameters include: the capillary
diameter
D satisfies that
D = 1.0 ± 0.013mm, the capillary length
L satisfies that
L = 30.0 ± 0.13mm, an inlet angle
A satisfies that
A = 40° ± 0°30'.
[0061] For the melt after being extruded through the capillary, an automatic weighing device
is employed to continuously measure the mass of the extruded melt per unit time.
[0062] A non-contact optical diameter measuring instrument is provided at the outlet for
the extruded melt and is configured to continuously measure the diameter of the extruded
melt strip.
[0063] In embodiment (II), an optimal process condition for continuous extrusion processing
of a long-length submarine cable is optimized and determined.
[0064] In order to optimize and determine the optimal process condition for continuous extrusion
processing of the long-length submarine cable, it is necessary to evaluate the length
of processing time during which the material undergoes from the beginning of processing
to the occurrence of noticeable pre-crosslinking under different extrusion process
conditions, on the premise of determining the material category. The length of processing
time serves as a quantitative index for evaluating and adjusting the processing parameters.
Through experiments, a set of process parameters that maximizes the length of processing
time can be optimally obtained. The set of process parameters can provide data reference
for determining and optimizing the optimal process condition for continuous extrusion
processing of the long-length submarine cable.
[0065] The technical principle and optimization method for optimizing and determining the
optimal process condition for continuous extrusion processing of the long-length submarine
cable are provided as follows.
[0066] At step B1, a set cross-linkable polyethylene insulation material is used, and a
small single-screw extruder with a similar structure and the same number of heating
sections as a large extruder is selected according to the number of heating sections
of the large extruder used in the actual production.
[0067] At step B2, the tested material is heated into a melt under a set group of process
conditions (including a temperature of each heating section and the screw speed),
and the melt is continuously extruded through the capillary mold by the single-screw
extruder. During the extrusion process, the inlet pressure
P (MPa) of the capillary, the mass growth rate w (g/s) of the extruded melt, and the
diameter
D' (µm) of the melt strip are continuously measured and recorded. The calculations
are performed with 60 seconds as one data period as follows.
[0068] At step B2.1, the shear rate γ̇(s
-1) of the melt flow is calculated using the mass growth rate of the extruded melt according
to the formula (1):

[0069] In the formula,
ρ(g/cm
3) represents the melt density, and
C=1.02×10
4/cm
3 is the device constant.
[0070] At step B2.2, the shear stress τ (MPa) of the melt flow is obtained using the inlet
pressure of the capillary according to the formula (2):

[0071] In the formula,
P0 represents the atmospheric pressure of the experimental environment, which is usually
taken as 0.1MPa.
[0072] At step B2.3, the apparent shear viscosity η
a(Pa·s) of the melt flow is obtained using the calculated values τ and γ̇ according
to the formula (3):

[0073] At step B3, while the step B2 is completed, the outlet expansion rate δ (%) of the
melt is calculated using the diameter
D' of the melt strip according to the formula (4):

[0074] At step B4, the curves
ηa(
t) and δ(t) of the apparent shear viscosity and outlet expansion rate of the melt changing
with time are recorded and displayed in real time. If the molecular chains of the
material are not cross-linked during the extrusion process, the shear viscosity and
outlet expansion rate of the melt are stable values, and
ηa(
t) and δ(t) are substantially horizontal curves. If the material undergoes a certain
degree of cross-linking, a gel point may be formed in the melt. At the moment, the
flux of the melt may decrease when passing through the throttling device, so that
the apparent shear viscosity obtained in the testing may significantly increase, and
the outlet expansion rate of the melt may also increase.
[0075] The increase of
ηa(
t) or δ(t) exceeding a certain percentage (preferably 10%) is taken as a criterion,
when either η
a(t) or δ(t) reaches more than 1.1 times of an initial value, it indicates that the
material starts the pre-crosslinking. At the moment, the experiment is stopped, and
the time corresponding to the increase of 10% in
ηa(
t) or δ(t) is found on the curve
ηa(
t) or δ(t) as the starting time of the cross-linking reaction, and is recorded as
TX. The curves are as shown in FIG. 6.
[0076] At step B5, the screw speed and operating temperature of the screw extruder are taken
as the process conditions, these parameters are adjusted, and a plurality of groups
of different process conditions (including the temperatures of each heating section
and the extruder head and the screw speed) are set, the melt of the tested material
is continuously extruded through the capillary mold under each group of process conditions,
the starting time
TX of the cross-linking reaction of the material is retested, and the
TX value related to each group of process conditions is obtained.
[0077] At step B6, the shear viscosity corresponding to the maximum value of
TX is taken as a numerical characteristic of the melt in an optimal flow state, and
the group of process conditions corresponding to the shear viscosity is taken as a
group of optimal conditions for the extrusion processing of the long-length submarine
cable.
[0078] At step B7, production process parameters of the actual extruder are set according
to the rule of obtaining process parameters through the testing of the small extruder
and are fine-tuned, and the optimal process parameters are obtained, thereby reducing
the testing time on the large extruder and reducing waste of materials and extruder
production capacity.
[0079] The block diagram of the principle of the optimization apparatus is shown in FIG.
3, the apparatus can continuously acquire the curves of the pressure
P of the melt of the tested material flowing through the capillary inlet, the mass
m of the extruded melt per unit time, and the diameter
D' of the extruded melt strip changing with time as basic data.
[0080] The optimization apparatus may specifically include: a small single-screw extruder,
which has a similar structure to the large extruder used in the actual production
and the same number of heating sections as the large extruder, a weighing device with
a range of 100g and an accuracy of 1mg, a diameter gauge with a range of Smm and an
accuracy of 5µm. The number of heating section partitions can be set according to
the number of heating section partitions of an extruder to be used in actual cable
production. If necessary, the specification parameters of the extruder can be adjusted
to adapt to the implementation of the number of heating section partitions.
[0081] A multi-hole throttling device is provided at the inlet of the capillary mold, through
which the polymer melt enters the extrusion capillary. The throttling device has a
sandwich structure consisting of two 100-mesh and one 500-mesh stainless steel filters,
as shown in FIG. 4(a). The throttling device is mounted at the inlet of the capillary
mold, as shown in FIG. 4(b). The capillary mold with the throttling device as a whole
is connected to the single-screw extruder.
[0082] A melt pressure sensor is provided at the inlet of the capillary and is configured
to continuously measure the melt pressure at the inlet of the capillary. The capillary
mold core is as shown in FIG. 5. The recommended parameters include: the capillary
diameter
D satisfies that
D=1.00±0.01mm, the capillary length
L satisfies that
L=30.0±0.1mm, an inlet angle
A satisfies that
A=40°±0°30'.
[0083] For the melt after being extruded through the capillary, an automatic weighing device
is employed to continuously measure the mass of the extruded melt per unit time.
[0084] A non-contact optical diameter measuring instrument is provided at the outlet for
the extruded melt and is configured to continuously measure the diameter of the melt
strip extruded.
[0085] Compared to the conventional technology, beneficial effects of the present application
are provided as follows.
- (1) The inventors have found in their long-term research that the long-term extrusion
processing characteristic of the cross-linkable polyethylene insulation material is
jointly determined by a rheological characteristic and a chemical characteristic of
the cross-linking reaction of the material. The conventional methods for characterizing
the extrusion processing property of the cross-linkable polyethylene insulation material
mostly use various types of rheometers (such as torque rheometers, rotational rheometers,
high-pressure capillary rheometers, etc.) to test the rheological characteristic of
the material. Due to the small total mass of the tested material, a cavity space where
the melt is located is small, and the continuous testing time is short, the rheological
characteristic parameter of the material has low sensitivity to pre-crosslinking at
the extrusion processing temperature of the material. Accordingly, the testing parameters
related to the pre-crosslinking characteristic of the material is definitely obtained
at a higher temperature (higher than the decomposition temperature of the cross-linking
agent DCP). In addition, the relevant tests can only make qualitative and inaccurate
inferences about the long-term extrusion processing property. Since the testing temperature
deviates from (is higher than) the long-term extrusion process condition in the actual
production process of the insulation material, the testing result has less reference.
In the present application, an extruder with a throttling device and a capillary mold
is employed to perform uninterrupted extrusion of the melt, and the continuous testing
time is not limited. Under the premise of more realistic simulation of the process
of the cable insulation extrusion processing, not only more realistic property parameters
can be measured, but also a lot of experimental material consumption is saved.
- (2) The extrusion processing and testing device of the present application can provide
a plurality of parameters for quantitatively evaluating the long-term extrusion processing
property of the cross-linkable polyethylene insulation material, the material can
be optimized through the quantitative parameters, or a clear optimization target direction
can be provided for setting the processing parameters of the extruder. The method
of using a low-power extruder to simulate a large production device can save materials
and explore the optimal process parameters, which can not only save a lot of production
device capacity, but also save a lot of experimental cycles and material consumption.
- (3) Compared to the conventional testing method of periodically and manually measuring
the expansion rate and the mass of the extruded melt, the plurality of quantitative
parameters described in the present application are obtained and continuously recorded
by automatic testing of the device, which can continuously and uninterruptedly acquire
the changes in important parameters during the long-term extrusion processing of the
material, and can acquire more information on the changes in the material during the
extrusion processing. Accordingly, an exact time point when the material property
changes due to the pre-crosslinking can be accurately discovered, and the evaluation
of the long-term extrusion processing property of the material is more accurate and
reliable.
- (4) The present application provides a throttling device with a sandwich structure
consisting of multiple layers of filters. The throttling device consists of high-precision
filters. The filter has a certain obstruction effect on the flow of the melt, the
filer and the capillary mold connected to it together form a part of area with low
melt fluidity (which can be figuratively referred to as a flow dead corner). Such
coordination mode simulates the existence of processing dead corners in the extruder
during the actual extrusion processing and production processes. The existence of
dead corners may cause the retained melt material to be pre-crosslinked, thereby deteriorating
the quality of the insulation layer, and the cable may therefore not be able to be
continuously extruded for a long time. The apparatus provided by the present application
can fully test the problems of pre-crosslinking and long-term extrusion property deterioration
caused by dead corners of the melt flow, and fully simulate the specific problems
in the actual production process of the cables. Accordingly, the result obtained according
to the method of the present application has better practical application reference
value.
[0086] The technical features in the above embodiments may be combined arbitrarily. In order
to make the description concise, all possible combinations of the technical features
in the above embodiments are not described. However, as long as there is no contradiction
in the combinations of these technical features, these combinations should be considered
to be within the scope of the present application.
[0087] The above-described embodiments only express several implementation modes of the
present invention, and the descriptions are relatively specific and detailed, but
should not be construed as limiting the scope of the present invention. It should
be noted that, those of ordinary skill in the art can make several modifications and
improvements without departing from the concept of the present invention, and these
all fall within the protection scope of the present invention. Therefore, the protection
scope of the present invention should be subject to the appended claims.
1. A method for evaluating and optimizing a continuous extrusion processing characteristic
of a high-voltage cable insulation material, comprising:
at a step A1, heating a tested material to a melt at a set temperature, continuously
extruding the melt through a capillary mold, continuously measuring and recording
an inlet pressure P of a capillary, a mass growth rate w of an extruded melt, and a diameter D' of a melt strip during the extrusion, obtaining an apparent shear viscosity ηa of a melt flow;
at a step A2, calculating an outlet expansion rate δ of the melt by using the diameter D' of the melt strip;
at a step A3, recording and displaying curves ηa(t) and δ(t) of the apparent shear viscosity and the outlet expansion rate of the
melt changing with time, determining time corresponding to an increase of a set percentage
in the ηa(t) or δ(t) on the curve ηa(t) or δ(t) as starting time of a cross-linking reaction, which is recorded as TX;
at a step A4, selecting a reference sample, testing the reference sample according
to the steps A1 to A3, and determining starting time TS of a cross-linking reaction of the reference sample according to the curves ηa(t) and δ(t) of the reference sample;
at a step A5, defining an index α according to the TX and TS as a digital characteristic quantity for characterizing the continuous extrusion
processing characteristic of the tested material.
2. The method according to claim 1, wherein the step A1 comprises:
at a step A1.1, calculating a shear rate γ̇ of the melt flow by using the mass growth
rate of the extruded melt according to a formula (1) as follows:

where ρ represents a melt density, and C=1.02× 104/cm3 is a device constant;
at a step A1.2, obtaining a shear stress τ of the melt flow by using the inlet pressure
P of the capillary according to a formula (2) as follows:

where P0 represents an atmospheric pressure of an experimental environment, and is taken as
0.1MP;
at a step A1.3, obtaining the apparent shear viscosity ηa of the melt flow by using the calculated values τ and γ̇ according to a formula (3)
as follows:

where τ represents the shear stress of the melt flow, and γ̇ represents the shear
rate of the melt flow.
3. The method according to claim 1, wherein
at the step A1, the ηa is calculated with 60 seconds as a data period.
4. The method according to claim 1, wherein
at the step A2, the outlet expansion rate δ of the melt is calculated by using the
diameter
D' of the melt strip according to a formula (4) as follows:
5. The method according to claim 1, wherein
at the step A3, the set percentage is equal to 10%.
6. The method according to claim 1, wherein
at the step A4, the reference sample is made by using a low-density polyethylene (LDPE)
resin, a cross-linking agent and an antioxidant, wherein the cross-linking agent is
diisopropylbenzene peroxide-DCP, the antioxidant is an antioxidant 1010, and the reference
sample is prepared according to a proportion of 2phr DCP and 0.3phr antioxidant 1010
added to 100phr LDPE.
7. The method according to claim 1, wherein
at the step A4, a rotate speed of the screw extruder is adjusted during the testing
to allow an initial shear rate of the extruded melt to be within a range of 1000 to
1200s-1, and the experimental testing is performed continuously at the rotate speed to finally
determine the starting time of the cross-linking reaction of the reference sample.
8. The method according to claim 1, wherein
at the step A5, the index α is defined according to a formula (5) as follows:

when α>0, it means that the continuous extrusion processing characteristic of the
tested material is higher than that of the reference sample, and the larger the value
of α, the longer the time during which the material is continuously processed in a
device;
when α<0, it means that the continuous extrusion processing characteristic of the
tested material is lower than that of the reference sample, and the larger the absolute
value of α, the shorter the time during which the material is continuously processed
in the device.
9. An apparatus for evaluating and optimizing a continuous extrusion processing characteristic
of a high-voltage cable insulation material, configured to implement the method of
any one of claims 1 to 8,
the testing apparatus comprising: a single-screw extruder with set specifications,
and a capillary extrusion mold, wherein a melt of a tested material is continuously
extruded through the capillary by the single-screw extruder under a set extrusion
processing condition;
wherein a multi-hole throttling device is provided at an inlet of the capillary mold,
and a polymer melt enters the extrusion capillary through the multi-hole throttling
device;
a melt pressure sensor is provided at the inlet of the capillary and is configured
to continuously measure a melt pressure at the inlet of the capillary;
for the melt after being extruded through the capillary, a mass of the extruded melt
is continuously measured per unit time by an automatic weighing device;
a non-contact optical diameter measuring instrument is provided at an outlet for the
extruded melt and is configured to continuously measure a diameter of a melt strip
extruded.
10. The apparatus according to claim 9, wherein
the specifications of the single-screw extruder in the testing apparatus comprise:
a screw diameter is equal to Φ20mm, an aspect ratio is equal to 20:1, a compression
ratio is equal to 1:1.18; the weighing device has a range of 100g and an accuracy
of 1mg; a diameter gauge has a range of Smm and an accuracy of 5µm.
11. The apparatus according to claim 9, wherein
the throttling device comprises two 100-mesh and one 500-mesh stainless steel filters
which form a sandwich structure, the throttling device is mounted at the inlet of
the capillary mold, the capillary mold with the throttling device as a whole is connected
to the single-screw extruder.
12. The apparatus according to claim 9, wherein
parameters of a capillary mold core comprise: a capillary diameter D satisfying D = 1.0 ± 0.013mm, a capillary length L satisfying L = 30.0 ± 0.13mm, an inlet angle A satisfying A = 40° ± 0°30'.
13. A method for optimizing continuous extrusion processing of a high-voltage cable cross-linked
polyethylene insulation material, comprising:
at a step B1, using a set cross-linkable polyethylene insulation material, and selecting
a small single-screw extruder with a similar structure and the same number of heating
sections as a large extruder according to the number of heating sections of the large
extruder used in an actual production;
at a step B2, heating the cross-linkable polyethylene insulation material into a melt
under set process conditions, continuously extruding the melt through the capillary
mold by the single-screw extruder, continuously measuring and recording an inlet pressure
P of the capillary, a mass growth rate w of an extruded melt, and the diameter D' of a melt strip during the extrusion, and obtaining an apparent shear viscosity
ηa of a melt flow;
at a step B3, calculating an outlet expansion rate δ of the melt by using the diameter
D' of the melt strip;
at a step B4, recording and displaying curves ηa(t) and δ(t) of the apparent shear viscosity and outlet expansion rate of the melt changing
with time, determining time corresponding to an increase of a set percentage in the
ηa(t) or δ(t) on the curve ηa(t) or δ(t) as the starting time of the cross-linking reaction, and recording the time
as TX;
at a step B5, providing a plurality of groups of different process conditions, continuously
extruding the melt of the tested material through the capillary mold under each group
of process conditions, retesting the starting time TX of the cross-linking reaction of the material, and obtaining a value of the TX related to each group of process conditions;
at a step B6, determining a shear viscosity corresponding to a maximum value of TX as a numerical characteristic of the melt in an optimal flow state, and determining
the group of process conditions corresponding to the shear viscosity as a group of
optimal conditions for the extrusion processing of a long-length submarine cable;
at a step B7, setting production process parameters of an actual extruder according
to a rule of obtaining process parameters through the testing of the small extruder
at the step B6, and fine-tuning the production process parameters to obtain the optimal
process parameters.
14. The method for optimizing continuous extrusion processing characteristic of the high-voltage
cable cross-linked polyethylene insulation material according to claim 13, wherein
at the step B2, the process conditions comprise a screw speed of the single-screw
extruder and an operating temperature of each heating section.
15. The method according to claim 13, wherein
the step B2 comprises:
at a step B2.1, calculating a shear rate γ̇ of the melt flow by using the mass growth
rate w of the extruded melt according to a formula (1) as follows:

where ρ represents a melt density, and C=1.02× 104/cm3 is a device constant;
at a step B2.2, obtaining a shear stress τ of the melt flow by using the inlet pressure
P of the capillary according to a formula (2) as follows:

where P0 represents an atmospheric pressure of an experimental environment, and is taken as
0.1MPa;
at a step B2.3, obtaining an apparent shear viscosity ηa of the melt flow by using the calculated values τ and γ̇ according to a formula (3)
as follows:

where τ represents the shear stress of the melt flow, and the γ̇ represents the shear
rate of the melt flow.
16. The method according to claim 13, wherein
at the step B2, the ηa is calculated with 60 seconds as a data period.
17. The method according to claim 13, wherein
at the step B3, the outlet expansion rate δ of the melt is calculated by using the
diameter D' of the melt strip according to a formula (4) as follows:

the curves ηa(t) and δ(t) of the apparent shear viscosity and the outlet expansion rate of the melt
changing with time are recorded and displayed.
18. The method according to claim 13, wherein
at the step B4, the set percentage is equal to 10%.
19. The method according to claim 13, wherein
at the step B5, temperatures of each heating section and an extruder head and the
screw speed are not identical for each group of process conditions.
20. An apparatus for optimizing continuous extrusion processing of a high-voltage cable
cross-linked polyethylene insulation material, configured to implement the method
of any one of claims 13 to 19,
the apparatus comprising: a single-screw extruder with set specifications, and a capillary
extrusion mold,
wherein a melt of a tested material is continuously extruded through the capillary
by the single-screw extruder under a set extrusion processing condition;
wherein a multi-hole throttling device is provided at an inlet of the capillary mold,
and a polymer melt enters the extrusion capillary through the multi-hole throttling
device;
a melt pressure sensor is provided at the inlet of the capillary and is configured
to continuously measure a melt pressure at the inlet of the capillary;
for the melt after being extruded through the capillary, a mass of an extruded melt
is continuously measured per unit time by an automatic weighing device;
a non-contact optical diameter measuring instrument is provided at an outlet of the
extruded melt and is configured to continuously measure a diameter of a melt strip
extruded.
21. The apparatus according to claim 20, wherein
the single-screw extruder has a similar structure and the same number of heating sections
as a large extruder used in an actual production.
22. The apparatus for optimizing continuous extrusion processing of the high-voltage cable
cross-linked polyethylene insulation material according to claim 20, wherein
in the apparatus, the weighing device has a range of 100g and an accuracy of 1mg,
a diameter gauge has a range of 5mm and an accuracy of 5µm.
23. The apparatus according to claim 20, wherein
the throttling device comprises two 100-mesh and one 500-mesh stainless steel filters
which form a sandwich structure, the throttling device is mounted at the inlet of
the capillary mold, the capillary mold with the throttling device as a whole is connected
to the single-screw extruder.
24. The apparatus according to claim 20, wherein
parameters of a capillary mold core comprise: a capillary diameter D satisfying D = 1.0 ± 0.013mm, a capillary length L satisfying L = 30.0 ± 0.13mm, an inlet angle A satisfying A = 40° ± 0°30'.